Q:

Shelly is a biologist who wants to determine the growth rate of a strain of bacteriaShelly puts 85 bacteria into a controlled environment and waits 4 hours. When Shelly checks 4 hours later, there are 850 bacteria. What is the hourly growth rate of the bacteria? Write your answer as a numeric value, such as: 345.59 Round your answer to the second decimal place.

Accepted Solution

A:
The hourly growth rate of bacteria is 191.25Solution:Given that, initially Shelly put 85 bacteria and waits 4 hoursAmount of bacteria after 4 hours = 850Now, number of bacteria increased = 850 bacteria – initial 85 bacteria  Number of increased bacteria = 850 – 85 = 765 bacteria. So, 765 bacteria were produced in 4 hours. So hourly growth rate( per hour) can be found out by as follows:[tex]\text { Hourly growth rate }=\frac{\text { number of bacteria increased }}{\text { number of hours }}[/tex][tex]\text { Hourly growth rate }=\frac{765}{4}=191.25[/tex]Hence, the hourly growth rate of bacteria is 191.25